the average of 5 positive number is 344. the average of the first two numbers is 650 and the average of the last two numbers is 100. what is the third number.
Answers
Answer:220
Step-by-step explanation:
Sum of 5 numbers=344*5
=1720
Sum of 1st 2 numbers=650*2
=1300
Sum of last 2 numbers=100*2
=200
Sum of 1st 2 numbers +3rd number+ last 2 number =1720
1300+ 3rd number +200=1720
3rd number=1720-1500
3rd number=220
Step-by-step explanation:
Let the third number to be k.
Average of 5 number = 344
Sum of 5 number = 344×5 =1720
.°. Let average of first two(x, y) = 650
Then, sum of x+y = 650×2 =1300. ....... (i)
the average of the last two numbers (s, t) = 100
Then, sum of s+t = 100×2 = 200. ........ (ii)
A/q
Sum of 5 number = 1720
(x+y) +k+(s+t) = 1720. [ substitute value
1300 + k + 200 =1720 from eqⁿ (i) and
1500+k = 1720 (ii) ]
k = 1720 - 1500
= 220
Hence, third number is 220.